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arXiv · 1711.02921

Normal forms for three-parametric families of area-preserving maps near an elliptic fixed point

Natalia Gelfreikh
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Abstract

We study dynamics of area-preserving maps in a neighbourhood of an elliptic fixed point. We describe simplified normal forms for a fixed point of co-dimension 3. We also construct normal forms for a generic three-parameter family which contains such degeneracy and use the normal form theory to describe generic bifurcations of periodic orbits in these families.

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Natalia Gelfreikh. 2017-11-08. Normal forms for three-parametric families of area-preserving maps near an elliptic fixed point. https://doi.org/10.1134/s1560354718030048

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